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5668480 = 27517521
BaseRepresentation
bin10101100111111010000000
3101122222200201
4111213322000
52422342410
6321254544
766116116
oct25477200
911588621
105668480
1132218a4
121a94454
13123613c
14a77ab6
1576e83a
hex567e80

5668480 has 64 divisors (see below), whose sum is σ = 14375880. Its totient is φ = 2129920.

The previous prime is 5668477. The next prime is 5668483. The reversal of 5668480 is 848665.

It is an interprime number because it is at equal distance from previous prime (5668477) and next prime (5668483).

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 968256 = 2168^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5668483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10620 + ... + 11140.

Almost surely, 25668480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187940).

5668480 is an abundant number, since it is smaller than the sum of its proper divisors (8707400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5668480 is a wasteful number, since it uses less digits than its factorization.

5668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 5668480 is about 2380.8569885653. The cubic root of 5668480 is about 178.3017228354.

The spelling of 5668480 in words is "five million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 521 544 640 680 1042 1088 1360 2084 2176 2605 2720 4168 5210 5440 8336 8857 10420 10880 16672 17714 20840 33344 35428 41680 44285 66688 70856 83360 88570 141712 166720 177140 283424 333440 354280 566848 708560 1133696 1417120 2834240 5668480